On the almost monotone convergence of sequences of continuous functions

DOI10.2478/s11533-011-0030-2zbMath1232.26003OpenAlexW2090043822MaRDI QIDQ657379

Zbigniew Grande

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0030-2

zbMATH Keywords

continuityupper semicontinuitylower semicontinuityapproximate continuityalmost monotone convergenceBaire 1 class

Mathematics Subject Classification ID

Continuous maps (54C05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

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• On discrete limits of sequences of approximately continuous functions and \(T_{\text{ae}}\)-continuous functions
• Extensions of discrete and equal Baire functions
• The density topology
• Differentiation of real functions
• Discrete and equal Baire classes
• Some remarks on discrete Baire classes
• A theorem on approximately continuous functions
• Limits of approximately continuous functions

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